Drugs used in animal farms can affect the public health because of their trace in edible animal tissues. Antibiotics are an integral part of treatment in many infectious diseases. They are widely used therapeutically, as growth promoters and to prevent infection in animals (1). After systemic or intrammamry administration of antibiotics in animal , antibiotic residues (ARs) in milk can be detec...

Food of animal origin is considered a primary source foodborne diseases. The misuse antibiotics to treat and control many bacterial diseases in farm animals has led multiple antibiotic-resistant pathogens contaminated food that can seriously threaten public health. present study aimed highlight the impact antimicrobial Egyptian beef meat, poultry, dairy farms on emergence antibiotic resistance ...

this study setout to investigate the effect of wheat residue, tillage, and nitrogen fertilizer management on some agronomic traits of soybean as a split split plot based on randomized complete block design with three replications. the main plots included wheat residue management: collecting and leaving residue and sub plot included tillage (without tillage and conventional tillage), and the sub...

For a prime p > 2 let Zp be the group of invertible elements modulo p, and let Hp denote the modular hyperbola xy ≡ 1 (mod p) where x, y ∈ Z. Following [1] we define Hp = Hp ∩ [1, p− 1], that is, Hp = {(x, y) ∈ Z : xy ≡ 1 (mod p), 1 ≤ x, y ≤ p− 1}. We note that the lines l1 : y = x and l2 : y + x = p are lines of symmetry of Hp. In this note we use these two symmetries to prove the following ba...

We define a G-fuzzy congruence, which is a generalized fuzzy congruence, discuss some of its basic properties, and characterize the G-fuzzy congruence generated by a fuzzy relation on a semigroup. We also give certain lattice theoretic properties of Gfuzzy congruences on semigroups.

We study the distribution of spacings between squares in Z/QZ as the number of prime divisors of Q tends to infinity. In [3] Kurlberg and Rudnick proved that the spacing distribution for square free Q is Poissonian, this paper extends the result to arbitrary Q.

We show that for any fixed ε > 0, there are numbers δ > 0 and p 0 2 with the following property: for every prime p p 0 , there is an integer p δ < N p 1/(4 √ e)+ε such that the sequence 1, 2,. .. , N contains at least δN quadratic non-residues modulo p. We then apply this result to obtain a new estimate on the smallest quadratic nonresidue in a Beatty sequence.

Plots of quadratic residues display some visual features that are analyzed mathematically in this paper. The graphical patterns of quadratic residues modulo m depend only on the residues of m modulo the lowest positive integers.

The projective special linear group PSL2(n) is 2-transitive for all primes n and 3-homogeneous for n≡ 3 (mod 4) on the set {0,1, · · · ,n−1,∞}. It is known that the extended odd-like quadratic residue codes are invariant under PSL2(n). Hence, the extended quadratic residue codes hold an infinite family of 2-designs for primes n≡ 1 (mod 4), an infinite family of 3-designs for primes n≡ 3 (mod 4)...

The super-Poincaré covariant formalism for the superstring is used to compute mass-less four-point two-loop amplitudes in ten-dimensional superspace. The computations are much simpler than in the RNS formalism and include both external bosons and fermions.